Proceedings of the California Academy of Sciences, 1903, Vol. 1 (Classic Reprint)

Download or read book Proceedings of the California Academy of Sciences, 1903, Vol. 1 (Classic Reprint) written by California Academy Of Sciences and published by Forgotten Books. This book was released on 2018-03-24 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Proceedings of the California Academy of Sciences, 1903, Vol. 1 IN MY inaugural dissertation1 certain quadratic trans formations played an important part. Their generation by the combination of conjugate imaginary collineations (in point co-ordinates) was a novelty that seemed capable of a generalization which I sought in vain at that time. It was also desirable to invert the transformations. This inversion was accomplished for some of the transformations, but not for all, although it was evident that they were really bira tional. I had always intended to investigate the inversion of quadratic transformations in general, but a press of other work had caused the subject to be abandoned until very recently, when Dr. Dickson's interesting construction2 of a special transformation recalled my interest to this field. The main object of this paper was to have been the in version of the general quadratic transformation, which is accordingly presented at the Close of the paper. But the method of treatment led me also to the generalization men tioned above, furnishing a simple geometrical construction for the general transformation, and this is to be found in 2. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.